Maxwell and Cattaneo's Time-Delay Ideas Applied to Shockwaves and the Rayleigh-Benard Problem

Details Maxwell and Cattaneo's Time-Delay Ideas Applied to Shockwaves and the Rayleigh-Benard Problem Maxwell and Cattaneo's Time-Delay Ideas Applied to Shockwaves and the Rayleigh-Benard Problem

2011-02-13

arxiv.org/abs/1102.2560v2

Physics

Fluid Dynamics

21 Pages, with six figures, submitted to Physics Letters A

Scientific paper

We apply Maxwell and Cattaneo's relaxation approaches to the analysis of strong shockwaves in a two-dimensional viscous heat-conducting fluid. Good agreement results for reasonable values of Maxwell's relaxation times. Instability results if the viscous relaxation time is too large. These relaxation terms have negligible effects on slower-paced subsonic problems, as is shown here for two-roll and four-roll Rayleigh-Benard flows.

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